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Finding the Fourth Proportional to 2,733.69, 4,100.08 and 785.44

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Solution

The fourth proportional to 2,733.69, 4,100.08 and 785.44 is: 1,178.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.69 : 4,100.08 = 785.44 : x
  2. Step 2: Convert to fraction form
    2,733.69/4,100.08 = 785.44/x
  3. Step 3: Cross multiply
    2,733.69x = 4,100.08 × 785.44
  4. Step 4: Simplify right side
    2,733.69x = 3,220,354.62
  5. Step 5: Solve for x
    x = 3,220,354.62/2,733.69
  6. Step 6: Final answer
    x = 1,178.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.